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Thank you for the clarification.
If you drop out of the top 3, you lose the right to challenge the top 1 and 2. If you break into the top 3, you gain the right to challenge. The top 3 is dynamic.
The need for this condition is due to the problem of a top 1 player not wanting to play at all in the last week, maintaining an incredibly high rating.
A fixed Olympic-style system would be easier for you as organizers, and the value of such games would increase many times over.
In any case, respect for these competitions for the top 1 ranking.